287894420720 has 80 divisors (see below), whose sum is σ = 676434741120. Its totient is φ = 113945916672.

The previous prime is 287894420717. The next prime is 287894420761. The reversal of 287894420720 is 27024498782.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2911451 + ... + 3008709.

It is an arithmetic number, because the mean of its divisors is an integer number (8455434264).

Almost surely, 2^287894420720 is an apocalyptic number.

287894420720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287894420720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338217370560).

287894420720 is an abundant number, since it is smaller than the sum of its proper divisors (388540320400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

287894420720 is a wasteful number, since it uses less digits than its factorization.

287894420720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97662 (or 97656 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 287894420720 in words is "two hundred eighty-seven billion, eight hundred ninety-four million, four hundred twenty thousand, seven hundred twenty".